ISSN:
1572-9613
Keywords:
nonequilibrium reaction–diffusion systems
;
cellular automata
;
differential-difference equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We use a Boolean cellular automaton model to describe the diffusion-limited dynamics of the irreversible reaction A+A→A+S on a 1D lattice. We derive a set of equations for the dynamics of the empty interval probabilities from which explicit expressions for the particle concentration and the two-point correlation can be obtained. It is shown that the long-time dynamics is in agreement with the off-lattice solution. The early-time behavior, however, predicts a slower decay of the concentration.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018649108442
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